The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat

Sari , Tewfik
        INRA
        , Montpellier .
         UMR 0729 Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie; El Hajji , M.
        . ISSATSOLAMSIN-ENIT; Harmand , Jérôme
        INRA
        , Narbonne .
         UR 0050 Laboratoire de  Biotechnologie de l'Environnement

The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat

2012

Sari , Tewfik (INRA , Montpellier (France). UMR 0729 Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie ) | El Hajji , M. (Université de SousseUniversité Tunis El-Manar, SousseTunis(Tunisie). ISSATSOLAMSIN-ENIT) | Harmand , Jérôme (INRA , Narbonne (France). UR 0050 Laboratoire de Biotechnologie de l'Environnement)

A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out as well as the analysis of the local and global stability of the equilibria. We demonstrate, under general assumptions of monotonicity which are relevant from an applied point of view, the asymptotic stability of the positive equilibrium point which corresponds to the coexistence of the two bacteria. A syntrophic relationship in the anaerobic digestion process is proposed as a real candidate for this model

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